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1031112031041 = 3522319028069
BaseRepresentation
bin11110000000100110001…
…00001111101101000001
310122120110222012100200000
433000103010033231001
5113343204134443131
62105404125150213
7134331626436621
oct17002304175501
93576428170600
101031112031041
11368323951344
12147a053bb369
1376305b64771
1437c98442881
151bc4cd00ce6
hexf01310fb41

1031112031041 has 24 divisors (see below), whose sum is σ = 1551472715520. Its totient is φ = 684325437552.

The previous prime is 1031112031031. The next prime is 1031112031043. The reversal of 1031112031041 is 1401302111301.

It is a happy number.

1031112031041 is a `hidden beast` number, since 1 + 0 + 311 + 1 + 2 + 0 + 310 + 41 = 666.

It is not a de Polignac number, because 1031112031041 - 25 = 1031112031009 is a prime.

It is a super-2 number, since 2×10311120310412 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1031112031043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9459846 + ... + 9568223.

It is an arithmetic number, because the mean of its divisors is an integer number (64644696480).

Almost surely, 21031112031041 is an apocalyptic number.

It is an amenable number.

1031112031041 is a deficient number, since it is larger than the sum of its proper divisors (520360684479).

1031112031041 is an equidigital number, since it uses as much as digits as its factorization.

1031112031041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19028307 (or 19028295 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1031112031041 its reverse (1401302111301), we get a palindrome (2432414142342).

The spelling of 1031112031041 in words is "one trillion, thirty-one billion, one hundred twelve million, thirty-one thousand, forty-one".

Divisors: 1 3 9 27 81 223 243 669 2007 6021 18063 54189 19028069 57084207 171252621 513757863 1541273589 4243259387 4623820767 12729778161 38189334483 114568003449 343704010347 1031112031041